Derivation of the Microbial Inactivation Rate Equation from an Algebraic Primary Survival Model Under Constant...

Area of Science:

• Food science and technology
• Microbiology
• Chemical engineering

Background:

• Food processing involves microbial inactivation using thermal and nonthermal agents.
• System state is defined by microbial concentration, food matrix properties, and lethal agent intensity.
• Process path describes changes in state factors over time.

Purpose of the Study:

• To investigate the impact of process path on microbial inactivation rate equations.
• To determine if unique inactivation rate equations can be derived.
• To validate theoretical models with experimental microbial survival data.

Main Methods:

• Modeling microbial inactivation as a system with defined state factors.
• Utilizing the Weibull model to analyze inactivation kinetics.
• Comparing inactivation rate dependency on process path versus path independence.

Main Results:

• If inactivation rate depends on path, infinite rate equations can yield the same primary model.
• This path dependency theoretically prevents identification of the true rate equation.
• Inactivation rate equations can be uniquely derived when the rate is path-independent.

Conclusions:

• Most microbial survival data suggest that inactivation rate is independent of the process path.
• Path independence allows for unique derivation of inactivation rate equations.
• This finding simplifies the understanding and modeling of food sterilization and pasteurization processes.